Hmm. In my scouting I took a long, hard look at that lighthouse. The masonry is exquisite. I would say that it's many times older than the village; and the fact that it's still standing likely means that other buildings made by this artisan are also still standing.
The least pressing matter here is one that I heard of. Out beyond the fog is a pirate ship that had been looting down in warmer waters. They broke for the cold north when being pursued by the navy and ran aground. The ship would be hard to access with the current dark and foggy weather. But if we were to get that lighthouse shining, we would be able to investigate and, hopefully, fill our pockets when we have the time. I am of the mind that the lighthouse is the place to begin.